Transversal operations in quantum error correction, that is logical gates that are executed by applying a set of gates in parallel, are the most straightforward form of fault-tolerant quantum logic. Naturally, characterizing the set of logical gates that can be implemented transversally for a class of codes is of great importance to fault-tolerant quantum architectures. In this work, we classif...

The work demonstrates about the reversible logic synthesis for the 2 to 4 decoder, the circuits are designed using reversible fault tolerant toffoli gates. Thus the entire scheme inherently becomes fault tolerant. In addition, several lower bounds on the number of constant inputs, garbage outputs and quantum cost of the reversible fault tolerant decoder have been proposed. Transistor simulation...

In parity preserving reversible circuit, the parity of the input vector must match the parity of the output vector. It renders a wide class of circuit faults readily detectable at the circuit’s outputs. Thus reversible logic circuits that are parity preserving will be beneficial to the development of fault tolerant systems in nanotechnology. This paper presents an efficient realization of well ...

Reversible computation plays an important role in the synthesis of circuits having application in quantum computing, low power CMOS design, bioinformatics and nanotechnology-based systems. Conventional logic circuits are not reversible. A reversible circuit maps each input vector, into a unique output vector and vice versa. We demonstrate how the well-known and very useful, Toffoli gate can be ...

It is an oft-cited fact that no quantum code can support a set of fault-tolerant logical gates that is both universal and transversal. This no-go theorem is generally responsible for the interest in alternative universality constructions including magic state distillation. Widely overlooked, however, is the possibility of nontransversal, yet still fault-tolerant, gates that work directly on sma...

Testable fault tolerant system design has become vital for many safety critical applications. On the other hand, reversible logic is gaining interest in the recent past due to its less heat dissipating characteristics. Any Boolean logic function can be implemented using reversible gates. This paper proposes a technique to convert any reversible logic gate to a testable gate that is also reversi...

We report high-fidelity laser-beam-induced quantum logic gates on magnetic-field-insensitive qubits comprised of hyperfine states in ^{9}Be^{+} ions with a memory coherence time of more than 1 s. We demonstrate single-qubit gates with an error per gate of 3.8(1)×10^{-5}. By creating a Bell state with a deterministic two-qubit gate, we deduce a gate error of 8(4)×10^{-4}. We characterize the err...

Abstract: Error detectable and error correctable coding in Hamming space was researched to discover possible fault tolerant coding constellations, which can implement Boolean logic with fault tolerant property. Basic logic operators of the Boolean algebra were developed to apply fault tolerant coding in the logic circuits. It was shown that application of three-bit fault tolerant codes have pro...

The limits and difficulties looked by CMOS innovation in the nano system has prompted exploration of other potential advancements which can work with same functionalities anyway lower power scattering higher speed. One such technology is Quantum dot Cellular Automata (QCA). In this paper, QCA explored to design authentication system. This paper first presents basic operating principle a Fingerp...